Physics 132 ex1

Physics 132 ex1 - Therefore the percent difference between...

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Phys. 132 Experiment 1: The Simple Pendulum and Computer Data Analysis Data: Length(m) 10T(s) T(s) T^2(s^2) 0.2 8.76 0.876 0.767376 0.42 12.83 1.283 1.646089 0.66 16.01 1.601 2.563201 0.78 17.68 1.768 3.125824 1.02 19.76 1.976 3.904576 1.14 21.33 2.133 4.549689 1.36 23.27 2.327 5.414929 *1.36 23.83 2.383 5.678689 *The data in this row was taken with a larger angle that the rest of the data to demonstrate that the period becomes larger and more inaccurate as the angle becomes larger. Therefore the data in this row is not included in the plot or calculations. Calculations: Equations: Units: Y = mx + b m (Slope) = 3.986 (s^2)/m T^2 = (4π^2)/g L 3.986 = (4π^2)/g g = (4π^2)/ 3.986 g = 9.904 m/s^2 T^2 s^2 = ((4π^2) * 1/(g m/s^2)) L m 3.986 s^2/m = (4π^2) * 1/g s^2/m
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g = (4π^2)* (1/ 3.986) m/s^2 g = 9.904 m/s^2 Therefore, the approximate acceleration of gravity calculated from the data is 9.904 m/s^2. Percent Difference: Percent Difference = |9.904-9.8| / 9.8 * 100 Percent Difference = .0106 * 100 Percent Difference = 1.064%
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Unformatted text preview: Therefore, the percent difference between the value calculated from the data and the actual constant g is 1.064%. Error: 1. There is human error in handling the clock. There is a tendency for slight inconsistency when judging when to start and stop the clock due to response time of the body. Also there may be issues dealing with the judgment of when the pendulum has reached the end of its period. 2. The effect of air resistance will also have an effect on the accuracy of the data, because it changes the period of the pendulum by damping the oscillation of the pendulum. Conclusion: In conclusion, this lab taught me about how to use the computer to assist me in evaluating the data that I collected in the lab. Also, I learned the effects of angle on the period of a pendulum and how the correlation between period and length can be used to make an approximation of the constant g....
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Physics 132 ex1 - Therefore the percent difference between...

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